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A memristive chaotic oscillator with controllable amplitude and frequency

Author

Listed:
  • Zhang, Xin
  • Li, Chunbiao
  • Chen, Yudi
  • IU, Herbert H.C.
  • Lei, Tengfei

Abstract

Broadband frequency property of chaos stands in the way of application. Internal parameter of a memristor leaves a new opportunity for easy amplitude/frequency control. Based on a variable-boostable chaotic system, such an amplitude-frequency controllable chaotic system is derived, which exhibits relatively robust chaotic oscillation compared with other multistable memristive systems. Furthermore, the controllable chaotic system gives a symmetric pair of oscillations, which finally merges to be a single symmetric one. Circuit experiment based on STM32 agrees well with the systematic analysis and numerical simulation.

Suggested Citation

  • Zhang, Xin & Li, Chunbiao & Chen, Yudi & IU, Herbert H.C. & Lei, Tengfei, 2020. "A memristive chaotic oscillator with controllable amplitude and frequency," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
  • Handle: RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920303982
    DOI: 10.1016/j.chaos.2020.110000
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    References listed on IDEAS

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    1. Bao, B.C. & Bao, H. & Wang, N. & Chen, M. & Xu, Q., 2017. "Hidden extreme multistability in memristive hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 102-111.
    2. Jafari, Sajad & Sprott, J.C., 2013. "Simple chaotic flows with a line equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 79-84.
    3. Xu, Quan & Lin, Yi & Bao, Bocheng & Chen, Mo, 2016. "Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 186-200.
    4. Lai, Qiang & Nestor, Tsafack & Kengne, Jacques & Zhao, Xiao-Wen, 2018. "Coexisting attractors and circuit implementation of a new 4D chaotic system with two equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 92-102.
    5. Chee, Chin Yi & Xu, Daolin, 2005. "Secure digital communication using controlled projective synchronisation of chaos," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1063-1070.
    6. Gao, Tiegang & Chen, Zengqiang, 2008. "Image encryption based on a new total shuffling algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 213-220.
    7. Lin, Hairong & Wang, Chunhua, 2020. "Influences of electromagnetic radiation distribution on chaotic dynamics of a neural network," Applied Mathematics and Computation, Elsevier, vol. 369(C).
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    Cited by:

    1. Hu, Yongbing & Li, Qian & Ding, Dawei & Jiang, Li & Yang, Zongli & Zhang, Hongwei & Zhang, Zhixin, 2021. "Multiple coexisting analysis of a fractional-order coupled memristive system and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Yang, Jie & Li, Chunbiao & Zhang, Qian & Zhang, Xin & Wu, Zhihao & Zhong, Haidong & Liu, Peiqiao & Liu, Zuohua & Tao, Changyuan & Huang, Keyu & Li, Jiaxing & Zheng, Guocan, 2024. "A memristive hyperchaotic oscillator with complete control and its application in the electrolysis of manganese," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    3. Zhou, Ping & Hu, Xikui & Zhu, Zhigang & Ma, Jun, 2021. "What is the most suitable Lyapunov function?," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    4. Lin, Hairong & Wang, Chunhua & Du, Sichun & Yao, Wei & Sun, Yichuang, 2023. "A family of memristive multibutterfly chaotic systems with multidirectional initial-based offset boosting," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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